5.07 x 10^6 the answer to the question
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and
.
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get

Putting the given values in the above formula, we get




Taking square root on both sides.


Approx the above value to the nearest number and side length cannot be negative. So,

Therefore, the length of z is about 102 cm.
The answer is the 2nd option of 60 degrees.
Givn : OK = 3, OJ = 30, KN = 1, JM = 3
ON=OK+KN=3+1=4
OM=OJ+JM=30+10=40
In triangles OKJ & ONM,
OKOJ=330=110
ONOM=440=110
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means KJNM=110 or the two sides are parallel.
Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.
For angle G, FH is the opposite leg.
h is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.


